Notes on Feedback Systems

Kent Lundberg's Notes on Feedback Systems will be the primary reference for 6.302 Feedback Systems this term (Spring 2008).

Copies of these notes will be handed out in lecture (the notes will not be posted to the web; if you miss a handout, please contact a TA).

Errata

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Supplementary Material

Old lecture videos, animations to demonstrate and clarify some of the concepts, and color versions of some of the figures that didn't print well. (The sections listed in parentheses refer to the accompanying reading in the notes.)

By Chapter:

1. Introduction
2. Prerequisites
3. Modeling and Responses
   • Video of Steady-State Error Demo (Section 3.5)
4. Stability
   • Video of F/A-22 Raptor instability (from NOVA's Battle of the X-Planes).
5. Root-Locus Method
6. Nyquist Criterion
   • Animation: a simple demonstration of Cauchy's Principle of the Angle (Section 6.2).
   • Animation: drawing a Nyquist diagram for L(s)=1/(s+1)³ with standard D-contour (Section 6.4.3).
   • Animation: drawing a Nyquist diagram from measured frequency-response data (Section 6.4.3).
   • Animation: drawing a Nyquist diagram for L(s)=(s+1)/(s²+1) with notched D-contour (Section 6.5).
7. Frequency-Domain Analysis
   • Animation: transformation of Nichols plot to closed-loop Bode plot for L(s)=1/s(s+1) (Section 7.2.2).
   • Animation: transformation of Nichols plot to closed-loop Bode plot for L(s)=10/s(s+1) (Section 7.2.2).
8. The Big Picture
   • Matlab .m script for Chapter 8 figures.

Links

• 6.302 Feedback Systems course homepage
• NOVA's Battle of the X-Planes
• ImageMagick image manipulation tools
• Dr. Kent Lundberg personal homepage

Disclaimer

These notes are for MIT 6.302 students only.